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Subject:  Precalculus

Equation of a circle with center (0, 0) and radius 5

Write the standard and expanded equations of a circle.

Answer (x − 0)² + (y − 0)² = 25

Solution

  1. Center (h, k) = (0, 0)
  2. Radius r = 5
  3. Standard equation (x − 0)² + (y − 0)² = 25
  4. Expanded equation x² + y² + 0x + 0y -25 = 0
  5. Diameter d = 2r = 10
  6. Circumference C = 2πr = 31.4159
  7. Area A = πr² = 78.5398

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